91
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Some alternative additive randomized response models for estimation of population mean of quantitative sensitive variable in the presence of scramble variable

, &
Pages 2785-2807 | Received 31 May 2018, Accepted 27 Aug 2018, Published online: 18 Nov 2018

References

  • Bar-Lev, S. K., E. Bobovitch, and B. Boukai. 2004. A note on randomized response models for quantitative data. Metrika 60 (3):255–60.
  • Batool, F., J. Shabbir, and Z. Hussain. 2017. On the estimation of a sensitive quantitative mean using blank cards. Communications in Statistics - Theory and Methods 46 (6):3070–9.
  • Chaudhuri, A., and R. Mukerjee. 1988. Randomized response: Theory and techniques. New York: Marcel Dekker.
  • Diana, G., and P. F. Perri. 2008. Efficiency vs privacy protection in SRR methods. In Proceedings of 44th Scientific Meeting of the Italian Statistical Society.
  • Diana, G., and P. F. Perri. 2010. New scrambled response models for estimating the mean of a sensitive quantitative character. Journal of Applied Statistics 37 (11):1875–90.
  • Diana, G., and P. F. Perri. 2011. A class of estimators for quantitative sensitive data. Statistical Papers 52 (3):633–50.
  • Eichhorn, B. H., and L. S. Hayre. 1983. Scrambled randomized response methods for obtaining sensitive quantitative data. Journal of Statistical Planning and Inference 7 (4):307–16.
  • Eriksson, S. A. 1973. A new model for randomized response. International Statistical Review/Revue Internationale de Statistique 41 (1):101–13.
  • Gjestvang, C. R., and S. Singh. 2009. An improved randomized response model: Estimation of mean. Journal of Applied Statistics 36 (12):1361–7.
  • Greenberg, B. G., A. Abul-Ela, W. R. Simmons, and D. G. Horvitz. 1969. The unrelated question randomized response model: Theoretical framework. Journal of the American Statistical Association 64 (326):520–39.
  • Greenberg, B. G., R. R. Kuebler Jr, J. R. Abernathy, and D. G. Horvitz. 1971. Application of the randomized response technique in obtaining quantitative data. Journal of the American Statistical Association 66 (334):243–50.
  • Grewal, I. S., M. L. Bansal, and S. S. Sidhu. 2005–2006. Population mean estimator corresponding to Horvitz-Thompson’s estimator for multi-characteristics using randomised response technique. Model Assisted Statistics and Applications 1 (4):215–20.
  • Guerriero, M., and M. F. Sandri. 2007. A note on the comparison of some randomized response procedures. Journal of Statistical Planning and Inference 137 (7):2184–90.
  • Gupta, S., J. Shabbir, R. Sousa, and P. Corte-Real. 2012. Estimation of the mean of a sensitive variable in the presence of auxiliary information. Communications in Statistics - Theory and Methods 41 (13–14):2394–404.
  • Huang, K. C. 2008. Estimation for sensitive characteristics using optional randomized response technique. Quality & Quantity 42 (5):679–86.
  • Hussain, Z., M. M. Al-Sobhi, and B. Al-Zahrani. 2014. Additive and subtractive scrambling in optional randomized response modelling. PLOS One 9 (1):e83557.
  • Lanke, J. 1976. On the degree of protection in randomized interviews. International Statistical Review 44 (2):197–203.
  • Leysieffer, R. W., and S. L. Warner. 1976. Respondent jeopardy and optimal designs in randomized response models. Journal of the American Statistical Association 71 (355):649–56.
  • Mahajan, P. K., J. P. Gupta, and R. Singh. 1994. Determination of optimum strata boundaries for scrambled response. Statistica 54 (3):375–81.
  • Perri, P. F. 2008. Modified randomized devices for Simmons’ model. Model Assisted Statistics and Applications 3 (3):233–9.
  • Pollock, K. H., and Y. Bek. 1976. A comparison of three randomized response models for quantitative data. Journal of the American Statistical Association 71 (356):884–6.
  • Poole, W. K. 1974. Estimation of the distribution function of a continuous type random variable through randomized response. Journal of the American Statistical Association 69 (348):1002–5.
  • Ryu, J. B., J. M. Kim, T. Y. Heo, and C. G. Park. 2006. On stratified randomized response sampling. Model Assisted Statistics and Applications 1 (1):31–6.
  • Saha, A. 2007. A simple randomized response technique in complex surveys. Metron 65:59–66.
  • Singh, H. P., and S. M. Gorey. 2017. Efficient estimation of population mean of sensitive variable in presence of scrambled responses. Communications in Statistics - Theory and Methods 46 (19):9557–65.
  • Singh, H. P., and T. A. Tarray. 2014. An improved randomized response additive model. Sri Lankan Journal of Applied Statistics 15 (2):131–8.
  • Warner, S. L. 1965. Randomized response: a survey technique for eliminating evasive answer bias. Journal of the American Statistical Association 60 (309):63–9.
  • Zaizai, Y., W. Jingyu, and L. Junfeng. 2009. An efficiency and protection degree-based comparison among the quantitative randomized response strategies. Communications in Statistics - Theory and Methods 38 (3):400–8.
  • Zhimin, H., Y. Zaizai, and W. Lidong. 2010. Combination of the additive and multiplicative models at the estimation stage. In 2010 International Conference on Computer and Communication Technologies in Agriculture Engineering, 172–4.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.